Structural Controllability of Boolean Control Networks under Partial Information
Author(s) -
Qinyao Pan,
Jie Zhong,
Shalin Tong,
Bowen Li,
Xiaoxu Liu
Publication year - 2021
Publication title -
complexity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 61
eISSN - 1099-0526
pISSN - 1076-2787
DOI - 10.1155/2021/9442358
Subject(s) - controllability , boolean network , computer science , and inverter graph , theoretical computer science , state (computer science) , control (management) , product (mathematics) , boolean function , boolean algebra , tensor product , mathematics , boolean expression , algorithm , pure mathematics , artificial intelligence , geometry
It is worth noting that both nodes’ coupling connections and logical updating functions play a vital role in state evolutions of Boolean networks (BNs). In this paper, a new concept named structural controllability (SC) about Boolean control networks (BCNs) with known partial information on nodes’ connections is studied. Then, by referring to semi-tensor product (STP) techniques, several types of SC are presented according to different issues of Boolean functions. Thereafter, several necessary and sufficient conditions are derived for SC of BCNs. Finally, a biological model of the lactose operon in Escherichia coli is simulated to show the effectiveness of the main theoretical results.
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